Find the Distance Between Two Points (9,0) , (14,12)

$(9, 0)$ , $(14, 12)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(14 - 9)}^{2} + {(12 - 0)}^{2}}$

Simplify.

Subtract $9$ from $14$ .

$\sqrt{5^{2} + {(12 - 0)}^{2}}$

Raise $5$ to the power of $2$ .

$\sqrt{25 + {(12 - 0)}^{2}}$

Subtract $0$ from $12$ .

$\sqrt{25 + 12^{2}}$

Raise $12$ to the power of $2$ .

$\sqrt{25 + 144}$

Add $25$ and $144$ .

$\sqrt{169}$

Rewrite $169$ as $13^{2}$ .

$\sqrt{13^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$13$